𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability of linear multistep methods for delay integro-differential equations

✍ Scribed by Chengming Huang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
292 KB
Volume
55
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep methods is considered. The emphasis is on the linear stability of numerical methods. It is shown that every A-stable, strongly 0-stable linear multistep method of Pouzet type can preserve the delay-independent stability of the underlying linear systems. In addition, some delay-dependent stability conditions for the stability of numerical methods are also given.

πŸ“œ SIMILAR VOLUMES

Nonlinear stability of general linear me
Nonlinear stability of general linear methods for neutral delay differential equations
✍ Wan-Sheng Wang; Shou-Fu Li; Kai Su πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 642 KB

This paper is concerned with the numerical solution of neutral delay differential equations (NDDEs). We focus on the stability of general linear methods with piecewise linear interpolation. The new concepts of GS(p)-stability, GAS(p)-stability and weak GAS(p)stability are introduced. These stability

Stability properties of second order del
Stability properties of second order delay integro-differential equations
✍ Ali Fuat YeniΓ§erioğlu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 580 KB

A basic theorem on the behavior of solutions of scalar linear second order delay integrodifferential equations is established. As a consequence of this theorem, a stability criterion is obtained.